Date: Wednesday, November 29, 2017
Location: 4448 (Psychology Dept Side) East Hall (3:10 PM to 4:00 PM)
Title: Stability in the homology of configuration spaces
Abstract: This talk will illustrate some patterns in the homology of the configuration space F_k(M), the space of ordered ktuples of distinct points in a manifold M. For a fixed manifold M, as k increases, we might expect the topology of these configuration spaces to become increasingly complicated. Church and others showed, however, that when M is connected and open, there is a representationtheoretic sense in which the homology groups of these spaces stabilize. In this talk I will explain these stability patterns, and describe higherorder stability phenomena  relationships between unstable homology classes in different degrees  established in recent work joint with Jeremy Miller. This project was inspired by workinprogress of GalatiusKupersRandalWilliams.
Files:
Speaker: Jennifer Wilson
Institution: Stanford University
Event Organizer:
